Name: Ian Forsyth
Question: Given the points A(0,0) B(60,10) C(24,d) find the equation of the parabola. leave the equation in terms of x, y and d if the general form of a quadratic is y = ax2 + bx + c.
Note: B(60,10) is not a turning pointHi Ian,
I assume that you want the parabola that passes through A, B and C. If the parabola passes through a point then the coordinates of the point satisfy the equation of the parabola.
Substituting A, B and C into the equation of the parabola gives
10 = a (602) + b 60 + c
d = a (242) + b 24 + c
The first equation implies c = 0 and the second and third equations become
d = 242 a + 24 b
Solve these equations for a and b.Cheers,